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Finding the Third Proportional to 447,144 and 958,272

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Solution

The third proportional to 447,144 and 958,272 is: 2,053,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,144 : 958,272 = 958,272 : x
  2. Step 2: Convert to fraction form
    447,144/958,272 = 958,272/x
  3. Step 3: Cross multiply
    447,144x = 958,272 × 958,272
  4. Step 4: Simplify right side
    447,144x = 918,285,225,984
  5. Step 5: Solve for x
    x = 918,285,225,984/447,144
  6. Step 6: Final answer
    x = 2,053,667.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.